Re(cursive/entry)
(Published on 25. June 2024, 21:03 by mormagli)
Normal Sudoku rules do not apply:
Fill the grid with the digits 0-9 such that no digit repeats in a row, column, or box;
S-cells: in each row, column, and box there is exactly one S-cell, S-cells contain two digits instead of one, and their value for the purpose of other clues is the sum of those digits;
S-indexing: the digits in each S-cell can be read as row/column coordinates, at each of those coordinates is an S-cell, all S-cells are so indexed, and an S-cell may index itself
(eg. If r1c2 is an S-cell containing the digits 4 and 8, there will be an S-cell either in row 8 column 4 or row 4 column 8; if both of those cells contain an S-cell there must be a second S-cell with the same digits);
Renban: values may not repeat on a purple line and each line contains an unordered set of consecutive values.
Solution code: row 5, left to right; where there is an s-cell, write the lower value digit first and then the higher digit.
Comments
on 27. June 2024, 20:25 by Everys
Nice flow. Deductions required thorughout, and quite even difficulty curve.
on 27. June 2024, 13:17 by ChinStrap
Glorious puzzle that gets stuck in your brain and won't let go until you finish.
on 27. June 2024, 12:50 by Franjo
Fantastic puzzle with a wonderful break-in. Enjoyed the walk on the solving road. Thank you so much for sharing this masterpiece.
on 27. June 2024, 01:46 by mormagli
Fixed typo in rules
on 26. June 2024, 17:40 by heliopolix
Stupendous S-cell indexing puzzle! Fantastic break-in followed by brilliant disambiguation!
on 26. June 2024, 11:52 by Snookerfan
Superb, fun and very interesting. Thank you
on 26. June 2024, 03:08 by sanabas
Just starting, and on the cusp of getting the break-in, I think.
A pedantic rules question, shouldn't it say "*VALUES* may not repeat on a purple line and each line contains an unordered set of consecutive values."
-finished it, excellent puzzle
--M-- hmm if I write the Renban rule the way you suggest then it also has to say 'values along a Renban must be consecutive.' My way of writing it seems more concise, but if it's adding confusion I may reconsider.
on 25. June 2024, 21:05 by Myxo
Fascinating puzzle!
